The government wants to provide breathtaking views of the coastline, a public good. The quality of the sights is determined by the height of buildings built near the coastline, such that taller buildings mean worse views. However, shorter buildings mean less tax revenue for the government. Only the residents of the town benefit from them, so building height on the coastline in Key West, Florida will not affect people in San Diego, California, and vice versa. People fall into two groups, those who have high values for the view and those who have low values for it. Buildings can have four maximum heights, 32, 22, 12, or 2 floors. Each 10-floor reduction costs the government $45, so residents' taxes will be